THE CENTURY PUZZLE
Can you write `100` in the form of a mixed number, using all the nine digits once, and only once? The late distinguished French mathematician, Edouard Lucas, found seven different ways of doing it, and expressed his doubts as to there being any other ways. As a matter of fact there are just eleven ways and no more. Here is one of them, `91 5742/638`. Nine of the other ways have similarly two figures in the integral part of the number, but the eleventh expression has only one figure there. Can the reader find this last form?
Topics:
Number Theory
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Modular Arithmetic / Remainder Arithmetic
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Divisibility Rules
Logic
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Reasoning / Logic
Arithmetic
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Fractions
Combinatorics
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Case Analysis / Checking Cases
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Processes / Procedures
- Amusements in Mathematics, Henry Ernest Dudeney Question 90
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